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675118080 = 210325721323
BaseRepresentation
bin101000001111010…
…111110000000000
31202001100112220100
4220033113300000
52340312234310
6150554042400
722505260200
oct5017276000
91661315810
10675118080
113170a522a
1216a119400
13a9b39b70
146593c400
153e409ec0
hex283d7c00

675118080 has 792 divisors, whose sum is σ = 3057923232. Its totient is φ = 136249344.

The previous prime is 675118079. The next prime is 675118097. The reversal of 675118080 is 80811576.

675118080 is a `hidden beast` number, since 67 + 511 + 8 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29352949 + ... + 29352971.

Almost surely, 2675118080 is an apocalyptic number.

675118080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528961616).

675118080 is an abundant number, since it is smaller than the sum of its proper divisors (2382805152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

675118080 is a wasteful number, since it uses less digits than its factorization.

675118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 675118080 is about 25983.0344648195. The cubic root of 675118080 is about 877.2564692985.

The spelling of 675118080 in words is "six hundred seventy-five million, one hundred eighteen thousand, eighty".